Download this article
 Download this article For screen
For printing
Recent Issues

Volume 25
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Embedding calculus for surfaces

Manuel Krannich and Alexander Kupers

Algebraic & Geometric Topology 24 (2024) 981–1018
Bibliography
1 P Boavida de Brito, M Weiss, Manifold calculus and homotopy sheaves, Homology Homotopy Appl. 15 (2013) 361 MR3138384
2 P Boavida de Brito, M Weiss, Spaces of smooth embeddings and configuration categories, J. Topol. 11 (2018) 65 MR3784227
3 S K Boldsen, Different versions of mapping class groups of surfaces, preprint (2009) arXiv:0908.2221
4 J Cerf, Théorèmes de fibration des espaces de plongements : applications, from: "Séminaire Henri Cartan, 1962/1963", École Norm. Sup. (1964) MR0160230
5 D R J Chillingworth, Winding numbers on surfaces, I, Math. Ann. 196 (1972) 218 MR0300304
6 D R J Chillingworth, Winding numbers on surfaces, II, Math. Ann. 199 (1972) 131 MR0321091
7 W G Dwyer, D M Kan, Function complexes in homotopical algebra, Topology 19 (1980) 427 MR0584566
8 D B A Epstein, Curves on 2–manifolds and isotopies, Acta Math. 115 (1966) 83 MR0214087
9 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
10 C D Feustel, Homotopic arcs are isotopic, Proc. Amer. Math. Soc. 17 (1966) 891 MR0196724
11 T G Goodwillie, J R Klein, Multiple disjunction for spaces of smooth embeddings, J. Topol. 8 (2015) 651 MR3394312
12 T G Goodwillie, M Weiss, Embeddings from the point of view of immersion theory, II, Geom. Topol. 3 (1999) 103 MR1694808
13 A Gramain, Le type d’homotopie du groupe des difféomorphismes d’une surface compacte, Ann. Sci. École Norm. Sup. 6 (1973) 53 MR0326773
14 A Hatcher, A short exposition of the Madsen–Weiss theorem, preprint (2011) arXiv:1103.5223
15 G Horel, Profinite completion of operads and the Grothendieck–Teichmüller group, Adv. Math. 321 (2017) 326 MR3715714
16 I Klang, A Kupers, J Miller, The May–Milgram filtration and k–cells, Algebr. Geom. Topol. 21 (2021) 105 MR4224737
17 B Knudsen, A Kupers, Embedding calculus and smooth structures, Geom. Topol. 28 (2024) 353 MR4711838
18 M Krannich, A Kupers, The 𝒟isc–structure space, preprint (2022) arXiv:2205.01755
19 A Kupers, O Randal-Williams, The cohomology of Torelli groups is algebraic, Forum Math. Sigma 8 (2020) MR4190064
20 M A Mandell, J P May, S Schwede, B Shipley, Model categories of diagram spectra, Proc. Lond. Math. Soc. 82 (2001) 441 MR1806878
21 T Moriyama, The mapping class group action on the homology of the configuration spaces of surfaces, J. Lond. Math. Soc. 76 (2007) 451 MR2363426
22 E Riehl, Categorical homotopy theory, 24, Cambridge Univ. Press (2014) MR3221774
23 D P Sinha, Manifold-theoretic compactifications of configuration spaces, Selecta Math. 10 (2004) 391 MR2099074
24 S Smale, Diffeomorphisms of the 2–sphere, Proc. Amer. Math. Soc. 10 (1959) 621 MR0112149
25 R Trapp, A linear representation of the mapping class group and the theory of winding numbers, Topology Appl. 43 (1992) 47 MR1141372
26 V Turchin, Context-free manifold calculus and the Fulton–MacPherson operad, Algebr. Geom. Topol. 13 (2013) 1243 MR3071127
27 M Weiss, Embeddings from the point of view of immersion theory, I, Geom. Topol. 3 (1999) 67 MR1694812
28 M S Weiss, Homology of spaces of smooth embeddings, Q. J. Math. 55 (2004) 499 MR2104688
29 M Weiss, What does the classifying space of a category classify?, Homology Homotopy Appl. 7 (2005) 185 MR2175298